Answer:
A = 66°, alternate interior angles
Explanation:
You want to know the relation that is used to find angle A in the given diagram.
Relation
The angle marked A and the one marked 66° are on opposite sides of the transversal between the parallel lines. They are both between those lines. That makes them defined as "alternate interior angles."
The alternate interior angles theorem tells you that angle A is congruent to the one marked 66°: ∠A = 66°.
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